It is pretty well accepted that Pompeii had businesses that primarily served prepared food (https://pompeiisites.org/en/comunicati/the-ancient-snack-bar-of-regi

It is pretty well accepted that Pompeii had businesses that primarily served prepared food (https://pompeiisites.org/en/comunicati/the-ancient-snack-bar-of-regio-v-resurfaces-in-its-entirety-with-scenes-of-still-life-food-residues-animal-bones-and-victims-of-the-eruption/ https://pompeiisites.org/en/comunicati/the-ancient-snack-bar...), so they are at least 2000 years old. Also, a business that sells meals and also sells lodging or coffee is definitely still a restaurant.